P6 Math: Equal Quantity after 2 Parties undergo Fractional Decrease

The question presents 2 different items, each of different value and quantity.
After each undergo a fractional decrease, both items have the same number remaining.

The unit value of each item and the total value of the remaining items are provided.

Such questions require students to make use of "Equal Value Fractions" in order to solve.

These type of questions will usually appear in Paper 2 of P6 exams.

Calculator usage is allowed.

Craig has a stack of $2 and $10 notes.

After using ²/₉ of the $2 notes and ³/₅ of the $10 notes to buy a figurine,

he has equal number of $2 and $10 notes remaining.

He has $672 left at the end.

How much money did Craig have at first? 

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P5P6 Math: Starting Difference Given with Both ending Equal at the End

This type of question begins with a value given(usually the difference between 2 parties).

Each of the value undergo fractional decrease and both ends up to be equal in the end.

Such questions are common in Paper 2 of P5 and P6 Math exams.

Calculator usage is allowed.

Rachel has $105 more than Phoebe at first.

After Rachel spent ²/₃ of her money and Phoebe spent ¹/₄ of her money,

both girls have equal amount of money left.

How much did Rachel spend?

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P5/P6 Math: Before and After with Percentage and Fractional Decrease

This question type begins with the total of 2 values given at first.

One of the value undergo percentage decrease and the other a fractional decrease.

Both values become equal at the end.

Students will need to work backwards in order to solve such questions.

These questions are common in Paper 2 of P5 and P6 exams.

Calculator usage is allowed.

Mr Tan and Mr Lee had a total of $418 at first.

After Mr Tan spent 75% of his money on a gift and Mr Lee spent ¹/₃ of his money on lunch, both men had equal amount of money remaining.

How much did each have remaining at the end?

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P5/P6 Math: Percentage of 2 Totals ( Equal at the End )

This question type shows that 2 unequal quantities undergo percentage decrease.

The quantity left after the percentage decrease is equal to each other.

Such question resembles "Fractions of Equal Value" and there are similar questions using "Percentage" to represent the fractions of equal value here.

Such questions usually appear in SA2 of P5 and also in P6 Paper 2.

Calculator usage is allowed.

Mr Rahim has 250 more laptops than smartphones for sale.

After selling 70% of the laptops and 20% of the smartphones,

he has the same number of laptops and smartphones left.

How many smartphones and laptops altogether does he have for sale at first?

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P6 Math: Different Percentage Discounts causing Different items to be Same Price

2 different items for sale at different discount percentages but has the same price after their respective discounts.

Such questions are common in Paper 2 of P6 Prelims and PSLE papers.
Calculator usage is allowed.

A pen was for sale at a 15% discount and a vase was selling at a 20% discount.
Both items were sold at the same price after the discount.

Lisa wanted to buy both discounted items but was short of $36.

If she only bought the pen at the discounted price, she'd have $100 left.

How much more will she need if she were to buy both items without discount?

An intricate antique Chinese vase

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P6 Math: Comparing Percentages of 2 Different Totals

Though 2 percentages are being compared, each percentage represents part of a different total. Such questions are similar to fraction comparisons of 2 different totals ( where the denominator represents 2 different totals )

Questions like these can appear in Paper 2 of P6 exams.

Calculator usage is allowed.

More of such questions "here".

There are men and women queuing to enter a new mall in Jurong.

50% of all the men in the queue are equal to 200% of all the women in the queue.

There were 36 more men than women in this queue.

How many women were there in this queue?

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P6 Math: Fraction of One Number is a Multiple of Another Number (Advanced)

The question below compares between 2 different numbers.

An "improper fraction" of the first number is a "multiple" of the second number.

Such questions usually appear in Paper 2.
Calculator usage is allowed.

Similar variations of this question can be found "here".

⁵/₃ of Brandon's marbles is equal to 4 times of Chris' marbles.

Brandon has 56 more marbles than Chris.

How many marbles do they have altogether?

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P6 Math: Fraction of One Number is a Multiple of Another Number (Basic)

The question below compares between 2 different numbers.

A fraction of the first number is a multiple of the second number.

Such questions usually appear in Paper 2.
Calculator usage is allowed.

Similar variations of this question can be found "here".

Jane and Kelly each have some red beans.

¹/₂ of Jane's red beads is thrice the number of Kelly's red beans.

Jane has 450 more red beans than Kelly.

How many red beans do they have altogether?

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P6 Math: Percentages of Equal Value

This type of P6 question presents 2 percentages of different items but have the same value as each other.

While looking seemingly like a percentage question, 
it is actually a fraction concept learnt earlier during P5, "Fractions of Equal Value".

Such question usually appear in P6 exams Paper 2.
Calculator usage is allowed.

Tricia and Elise have some ribbons.

10% of Tricia's ribbons are the same quantity as 40% of Elise's ribbons.

Tricia has 45 more ribbons than Elise.

How many ribbons do they have altogether?

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P5/P6 Math: Overlapping Shapes and Areas

Such questions usually appears in P5 Paper 2 after students have learnt ratio.

These questions are also common for P6 exams.

Calculator usage is accepted.

"Equal Fraction" concepts and "Ratio" concepts are required to solve this question.

Overlapping tiles

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P5/P6 Math: Revisiting Fractions of Equal Value

The question below deals with the concept of equal value fractions.
Such questions will appear in exams once after ratio techniques are taught in P5.

Similar Fractions of Equal Value questions can also be found here

Calculator usage is allowed.

In a school canteen, there were 37 more boys than girls.

³/₇ of the boys and ²/₅ of the girls wore spectacles.

An equal number of boys and girls do not wear spectacles.

How many children were there at the canteen altogether?

Natural ways to improve your eyesight without surgery

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